Traces of Hecke Operators and Refined Weight Enumerators of Reed-Solomon Codes

We study the quadratic residue weight enumerators of the dual projective Reed-Solomon codes of dimensions 5 and q − 4 over the finite field Fq. Our main results are formulas for the coefficients of the the quadratic residue weight enumerators for such codes. If q = pv and we fix v and vary p then our formulas for the coefficients of the dimension q − 4 code… CONTINUE READING